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Characterizations of the Normal and the Gamma distributions

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1973
The Normal and the Gamma distribution, properly translated, are characterized by a uniformly minimum variance property of the sample mean. In fact, we answer in particular a question asked by Kagan in 1966. Also an optimality property of the sample variance is proved to characterize the Normal distribution.
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The gamma distribution

1980
The general form of the gamma distribution is $$ f(x\left| {\alpha ,\beta } \right.) = \beta ^\alpha x^{\alpha - 1} e^{ - \beta x} /\Gamma (x){\text{ }}\:x \geqslant 0 $$ The parameter α is a shape parameter and s a scale parameter.
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Gamma Distribution

2011
Kimiko O. Bowman, L. R. Shenton
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Gamma Distribution

2021
Rajan Chattamvelli, Ramalingam Shanmugam
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GAMMA distribution

2001
Saul I. Gass, Carl M. Harris
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The Supernova–Gamma-Ray Burst Connection

Annual Review of Astronomy and Astrophysics, 2006
S E Woosley
exaly  

Short-Duration Gamma-Ray Bursts

Annual Review of Astronomy and Astrophysics, 2014
Edo Berger
exaly  

A survey of the application of gamma processes in maintenance

Reliability Engineering and System Safety, 2009
J M van Noortwijk
exaly  

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